https://www.mathemaniac.co.uk/blog daily 0.75 2026-10-16 https://www.mathemaniac.co.uk/blog/i-have-a-new-paper-out-here-is-the-much-less-technical-write-up monthly 0.5 2026-10-16 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/e5ac72fb-e861-4cca-96fd-c4ed3d89b6e3/Screenshot+%28420%29.png Blog - I have a new paper out! Here is the much less technical write-up. Smaller wavelength means higher energy. https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/0fbd62a5-56b7-4bd1-b77b-de4db7716c26/Screenshot+%28416%29.png Blog - I have a new paper out! Here is the much less technical write-up. Illustration of the cosmic history in our leading model, starting with a period of exponential expansion known as cosmic inflation. https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/3a0e3264-b4c1-458e-bf1e-90680aa57795/Screenshot+%28415%29.png Blog - I have a new paper out! Here is the much less technical write-up. Comparison between “terrestrial colliders” like the LHC and a “cosmological collider”. https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/36a3bc28-6de4-4a78-8845-a8573388ea9b/Screenshot+%28417%29.png Blog - I have a new paper out! Here is the much less technical write-up. Illustration (not to scale) of the oscillatory signals in the so-called “collapsed limit of the trispectrum.” Credit: Daniel Baumann’s lecture notes on cosmological correlators, accessible here. https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/b21aa9f8-aade-4483-adc9-93a9d8cfb63a/Planck_s_view_of_the_cosmic_microwave_background_pillars-3224438925.jpg Blog - I have a new paper out! Here is the much less technical write-up. The Cosmic Microwave Background (CMB). Each dot represents the temperature of the photons emitted from roughly 380000 years after the Big Bang, red means hotter, blue means colder. Differences between the hot spots and cold spots are exaggerated by 10^5 times. These fluctuations in temperature are roughly the same in every direction. Credit: ESA https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/d5e13b06-fb14-491a-8f04-bbc4b07e0e09/Screenshot+%2844%29.png Blog - I have a new paper out! Here is the much less technical write-up. Waves stretch exponentially with the universe. So the rate of expansion was slower in the far past, to the point where these waves behave as if the universe did not expand. https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/a4797aa4-9bdc-4957-a2d8-c932bf86efb2/Screenshot+%2845%29.png Blog - I have a new paper out! Here is the much less technical write-up. The yellow dot in the middle can communicate with anyone inside the double-cone, because that only requires slower-than-light communication. However, the yellow dot in the middle can’t communicate with the pink dot on the left, because that requires faster-than-light communication. https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/d1ae7da8-615d-4ddc-9f15-f4aaf393f075/Screenshot+%28418%29.png Blog - I have a new paper out! Here is the much less technical write-up. The flowchart describing the procedure we use: depending on the different scenarios, we check against these “minimum requirements”. The green boxes show that those theories pass through the minimum requirements, while the red ones show they violated at least 1 of the requirements. Taken from our paper. https://www.mathemaniac.co.uk/blog/why-my-second-channel-is-a-thing monthly 0.5 2026-08-17 https://www.mathemaniac.co.uk/blog/my-somepi-criteria monthly 0.5 2024-05-24 https://www.mathemaniac.co.uk/blog/how-i-use-geogebra-to-make-animations-in-videos-part-ii monthly 0.5 2023-01-07 https://www.mathemaniac.co.uk/blog/how-i-use-geogebra-to-make-animations-in-videos-part-i monthly 0.5 2023-01-05 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/45eb356a-e062-4929-9a32-492ebed91f07/Slider+%28preliminary%29.gif Blog - How I use GeoGebra to make animations in videos (Part I) - Make it stand out Exporting the above GeoGebra file to GIF, but it isn’t “smooth”. https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/c11eb389-379f-48fe-b3ef-f6f1cf5831bf/Distance+time+graph.png Blog - How I use GeoGebra to make animations in videos (Part I) - Make it stand out A “distance-time” graph for sliders https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/ba543cb5-1dbb-433f-bb62-7436824d2e9d/Slider+%28advanced%29.gif Blog - How I use GeoGebra to make animations in videos (Part I) - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://www.mathemaniac.co.uk/home daily 1.0 2023-03-22 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/6fd0f293-ca46-4e29-baab-5e3c54e18686/Screenshot+%2897%29.png https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/f9249b8f-b97d-40ab-87b5-410116abf069/image-asset.png https://www.mathemaniac.co.uk/about daily 0.75 2026-05-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/deab1820-97df-4f15-9bec-42edfaf5b0bd/IMG_20210630_160224_187.jpg https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1671727445470-ZJNCJU6ZJE39F4GFSCB5/unsplash-image-SQbuJB1DvE0.jpg https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/fe0826fa-cb08-4d01-8f00-b1568f53578e/unnamed.jpg https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/cf2dae31-5bc5-49bc-a32f-bd661114d8b7/20221205_195032+%282%29.jpg https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1671732774312-8VIH8VXK124IU5WJI0VA/unsplash-image-8CqDvPuo_kI.jpg https://www.mathemaniac.co.uk/ventures daily 0.75 2026-05-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1671741094501-5XIBEUL36DS3RUF5EZG0/unsplash-image-8T_Hgvaz6xc.jpg https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/2bd3200f-ee88-4106-a930-e94e33b14eb0/Screenshot+%28448%29.png https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1671748744282-7C22GZOA1ZPH1WZUGR23/unsplash-image-fUnfEz3VLv4.jpg https://www.mathemaniac.co.uk/videos daily 0.75 2026-05-28 https://www.mathemaniac.co.uk/faq daily 0.75 2026-05-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/ba161378-81f1-4bda-a544-6655ea9ee266/Microsoft_Office_PowerPoint_%282019%E2%80%93present%29.svg.png https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/f073db1e-ddab-4c97-a02a-845d62d23cc5/Geogebra.svg.png https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/cf7d53a0-3a5e-4ec3-b461-eac3c2db9caf/shotcut-logo-640x640.png https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/a0095ef5-d16c-4068-b621-77202665e385/51VluVCvfTL.jpg https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/dc9ab4c1-859e-4417-a167-876be1d31829/Screenshot+%28449%29.png https://www.mathemaniac.co.uk/temporary-stuff daily 0.75 2025-05-01 https://www.mathemaniac.co.uk/download daily 0.75 2023-04-24 https://www.mathemaniac.co.uk/download/main-channel monthly 0.5 2026-09-03 https://www.mathemaniac.co.uk/download/second-channel monthly 0.5 2026-04-20 https://www.mathemaniac.co.uk/download/p/vector-potential-video monthly 0.5 2026-10-09 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/323548ae-cb05-431a-9ab9-d4c575ec85dd/Screenshot+%28405%29.png Download - Vector potential video - Screenshot (405).png https://www.mathemaniac.co.uk/download/p/generalised-stokes-theorem-video monthly 0.5 2026-08-31 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/5f2738a4-2e48-4dfe-81b2-87e3dac13d4d/Screenshot+%28274%29.png Download - Generalised Stokes' theorem video - Screenshot (274).png https://www.mathemaniac.co.uk/download/p/power-rule-video monthly 0.5 2026-08-31 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/a890611d-eb83-4da1-9a95-dea907cdfde2/Screenshot+%28269%29.png Download - Power rule video - Screenshot (269).png https://www.mathemaniac.co.uk/download/p/hairy-ball-video monthly 0.5 2026-08-31 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/906c3e42-81ae-4746-9cca-bfdc906222aa/Screenshot+%28249%29.png Download - Hairy ball video - Screenshot (249).png https://www.mathemaniac.co.uk/download/p/differential-forms-overview-video monthly 0.5 2026-08-31 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/e0eaa3b0-7ce5-426a-bde6-61c84945f28f/Screenshot+%28241%29.png Download - Differential forms overview video - Screenshot (241).png https://www.mathemaniac.co.uk/download/p/differential-forms-intro-video monthly 0.5 2026-08-31 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/e88d9f9d-5fe3-4012-8473-6614676e7d8e/Screenshot+%28226%29.png Download - Differential forms intro video - Screenshot (226).png https://www.mathemaniac.co.uk/download/p/4d-symmetry-video monthly 0.5 2026-08-30 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/3176c641-3d17-40eb-a492-140d8b35d9af/Screenshot+%28213%29.png Download - 4D symmetry video - Screenshot (213).png https://www.mathemaniac.co.uk/download/p/lrl-video monthly 0.5 2026-08-30 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/375eeca9-174a-49f0-9cd1-00c837a9e63a/Screenshot+%28200%29.png Download - LRL video - Screenshot (200).png https://www.mathemaniac.co.uk/download/p/force-duality-video monthly 0.5 2026-08-30 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/54371fde-f278-4bfe-ad25-6106adcfc0f7/Screenshot+%28176%29.png Download - Force duality video https://www.mathemaniac.co.uk/download/p/newton-hooke-duality-video monthly 0.5 2026-08-30 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/5ce28453-92e8-493c-b8bd-36591359f333/Screenshot+%28165%29.png Download - Newton-Hooke duality video https://www.mathemaniac.co.uk/download/p/newtonian-gravity-intro monthly 0.5 2026-08-29 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/5147c5d7-02ca-43bd-89ec-c7dda25cee0d/Screenshot+%28147%29.png Download - Newtonian gravity intro https://www.mathemaniac.co.uk/download/p/noethers-theoremaction-principle-video monthly 0.5 2026-08-29 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/e3dd7455-a688-4315-aca7-5b6bbde4a304/Screenshot+%28137%29.png Download - Noether's theorem/action principle video https://www.mathemaniac.co.uk/download/p/ma1mv7ibl3lq3o3255uqi4ysq8zd8e monthly 0.5 2026-08-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/79e51d89-537c-41de-889a-72ae1469f727/Screenshot+%28106%29.png Download - Gauss-Bonnet video https://www.mathemaniac.co.uk/download/p/7-color-theorem-video monthly 0.5 2026-08-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/28b54a69-256c-4986-a72a-e3257f72c62b/Screenshot+%2889%29.png Download - 7-color theorem video https://www.mathemaniac.co.uk/download/p/euler-characteristic-video monthly 0.5 2026-08-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/5230fa79-5330-4b22-b6f7-0dc2bb53ee59/Screenshot+%2888%29.png Download - Euler characteristic video https://www.mathemaniac.co.uk/download/p/mean-curvature-flow-video monthly 0.5 2026-08-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/4e83fcc4-4d05-499b-8a4b-ee1abe2bf303/Screenshot+%2863%29.png Download - Mean curvature flow video https://www.mathemaniac.co.uk/download/p/p7wz2wjax6zsdtn3ni46frbkkgdfn3 monthly 0.5 2026-08-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1722530282073-WZO0L7SNTJTAYFLUBA8B/Screenshot+%2847%29.png Download - Curvature video https://www.mathemaniac.co.uk/download/p/lie-algebra-video monthly 0.5 2026-08-28 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1712543847070-1UVZM8VQVEQ98MCTADYF/Screenshot+%2830%29.png Download - Lie algebra video https://www.mathemaniac.co.uk/download/p/pl4pus32zu6ufjzw1h05sz3eaprtfk monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1704507370548-863P56V8UKEEINIU8C74/Screenshot+%2812%29.png Download - Trace intuition video https://www.mathemaniac.co.uk/download/p/kyr0d35dqw8wj8nzqox5vtb3yk9oaf monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1704210759743-6Y9CWXC294DYX5OQYP7G/Screenshot+%287%29.png Download - Exponentiating weird objects video https://www.mathemaniac.co.uk/download/p/6ssuhfkemgy4k84cgsobcnm80fcp0f monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1691563785017-GEBEDKPFCGVB1OKKRNB4/Screenshot+%28603%29.png Download - Lie theory overview video https://www.mathemaniac.co.uk/download/p/orthogonal-unitary-video monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1690531111769-CD1T936LMF2CBAUMU2SB/Screenshot+%28595%29.png Download - Orthogonal / unitary video https://www.mathemaniac.co.uk/download/p/intro-lie-theory-video monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1690018605919-73K3D2LDAXB226Z1T4E1/Screenshot+%28593%29.png Download - Intro to Lie theory video https://www.mathemaniac.co.uk/download/p/exponential-series-video monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1687786064557-SZHCZ99KB96OQOQIGDXT/Screenshot+%28579%29.png Download - Exponential series video https://www.mathemaniac.co.uk/download/p/queuing-theory-video monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1687785835249-4UDM7RN7PI3D6RPC7GV2/Screenshot+%28577%29.png Download - Queuing theory video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls-yldsx-txffa-afcl4 monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682301021278-7TMP06ODADJXBL3XO6RP/Screenshot+%28342%29.png Download - Galois theory video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682299704871-H04KTF7X4V1E90MBJWG5/Screenshot+%28447%29.png Download - Matrix transpose video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls-yldsx-txffa-afcl4-le84z-wxfr2-33jd8 monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682303079988-FDF1K54CUWUE9ZJ1K2KF/Screenshot+%28283%29.png Download - Complex analysis videos https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682303079761-7DDQEMLTZYA1BEVS9Q10/Screenshot+%28244%29.png Download - Complex analysis videos https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682303081648-GMKIHT8FMZ8EEM4C6Y3F/Screenshot+%28208%29.png Download - Complex analysis videos https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682303083156-F58E2TPALVCDDAWYTI76/Screenshot+%28182%29.png Download - Complex analysis videos https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682303080127-YXEZ0R985AW5I2G1ZS0X/Screenshot+%28158%29.png Download - Complex analysis videos https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls-yldsx-txffa-afcl4-le84z-wxfr2 monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682301675550-OMYPYLWTV33PIUCKRICS/Screenshot+%28298%29.png Download - Sine series video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls-yldsx-txffa-afcl4-le84z monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682301241726-4H32YGVCO5FFWOSNZ3XT/Screenshot+%28310%29.png Download - Leibniz series video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls-yldsx monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682300313266-62ZJOGXQKJU9LZYR3TIY/Screenshot+%28404%29.png Download - Random walk video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls-yldsx-txffa monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682300842977-BUTXJH92DDSN0LDEL7JA/Screenshot+%28369%29.png Download - Stein's paradox video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682299083214-5Q0VZF604XVEM25SLMOF/Screenshot+%28489%29.png Download - 100k Q and A video https://www.mathemaniac.co.uk/download/p/100k-q-and-a-video-f39ls-yldsx-txffa-afcl4-le84z-wxfr2-wdynm monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682303747369-6ZZYH95Z1LOJRY6TQREE/Screenshot+%2899%29.png Download - Green's function video https://www.mathemaniac.co.uk/download/p/spin-half-video monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682032269840-T98ORDRA6IUKVAIMN7BR/Screenshot+%28528%29.png Download - Spin half video https://www.mathemaniac.co.uk/download/p/spin-half-video-bt9h5 monthly 0.5 2026-08-27 https://images.squarespace-cdn.com/content/v1/63a304eb64014f2264b5e011/1682372635151-J6C68H9IZ1ESA3658323/Screenshot+%28547%29.png Download - Theorema Egregium video